Finding the Third Proportional to 137,448 and 289,648

Step by Step Solution

1. Step 1: Write the proportion equation
   137,448 : 289,648 = 289,648 : x
2. Step 2: Convert to fraction form
   137,448/289,648 = 289,648/x
3. Step 3: Cross multiply
   137,448x = 289,648 × 289,648
4. Step 4: Simplify right side
   137,448x = 83,895,963,904
5. Step 5: Solve for x
   x = 83,895,963,904/137,448
6. Step 6: Final answer
   x = 610,383.30